{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "Chapter 11\n",
    "# 用Matplotlib生成平面等高线\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:19:20.088283Z",
     "end_time": "2024-07-10T14:19:20.704209Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [
    "# 生成数据\n",
    "x1_array = np.linspace(-3, 3, 121)\n",
    "x2_array = np.linspace(-3, 3, 121)\n",
    "\n",
    "xx1, xx2 = np.meshgrid(x1_array, x2_array)\n",
    "ff = xx1 * np.exp(- xx1 ** 2 - xx2 ** 2)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:19:20.708208Z",
     "end_time": "2024-07-10T14:19:20.712649Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 等高线\n",
    "fig, ax = plt.subplots()\n",
    "CS = ax.contour(xx1, xx2, ff, levels=20, cmap='RdYlBu_r', linewidths=1)\n",
    "fig.colorbar(CS)\n",
    "ax.set_xlabel('$\\it{x_1}$')\n",
    "ax.set_ylabel('$\\it{x_2}$')\n",
    "ax.set_xticks([])\n",
    "ax.set_yticks([])\n",
    "ax.set_xlim(xx1.min(), xx1.max())\n",
    "ax.set_ylim(xx2.min(), xx2.max())\n",
    "ax.grid(False)\n",
    "ax.set_aspect('equal', adjustable='box')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:19:20.716642Z",
     "end_time": "2024-07-10T14:19:20.966602Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 填充等高线\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "CS = ax.contourf(xx1, xx2, ff, levels=20, cmap='RdYlBu_r')\n",
    "fig.colorbar(CS)\n",
    "ax.set_xlabel('$\\it{x_1}$')\n",
    "ax.set_ylabel('$\\it{x_2}$')\n",
    "ax.set_xticks([])\n",
    "ax.set_yticks([])\n",
    "ax.set_xlim(xx1.min(), xx1.max())\n",
    "ax.set_ylim(xx2.min(), xx2.max())\n",
    "ax.grid(False)\n",
    "ax.set_aspect('equal', adjustable='box')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:19:20.967607Z",
     "end_time": "2024-07-10T14:19:21.139454Z"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
